11437993550256 has 160 divisors (see below), whose sum is σ = 36426288568320. Its totient is φ = 3011691912192.

The previous prime is 11437993550231. The next prime is 11437993550371. The reversal of 11437993550256 is 65205539973411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11437993550256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541705 + ... + 4813463.

It is an arithmetic number, because the mean of its divisors is an integer number (227664303552).

Almost surely, 2^{11437993550256} is an apocalyptic number.

11437993550256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11437993550256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213144284160).

11437993550256 is an abundant number, since it is smaller than the sum of its proper divisors (24988295018064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11437993550256 is a wasteful number, since it uses less digits than its factorization.

11437993550256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272403 (or 4272397 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 60.

The spelling of 11437993550256 in words is "eleven trillion, four hundred thirty-seven billion, nine hundred ninety-three million, five hundred fifty thousand, two hundred fifty-six".